Question

A sample of size n = 50 is drawn from a population whose standard deviation is...

A sample of size n = 50 is drawn from a population whose standard deviation is o= 26.   Find the margin of error for a 90% confidence interval for u.
If the sample size were n= 40, would the margin of error be larger or smaller

Homework Answers

Answer #1

Refer Z-table or use excel function "=NORM.S.INV((1-0.05))" to find the Z-value.

https://drive.google.com/open?id=1miDykB956rSHGgAYD93YaJKxmD9a_oZ1

---------------------------------------------------------------------------------------------

Therefore as the sample size is decreased, The margin of error increases.

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A sample of size n=71 is drawn from a population whose standard deviation is u=15. Part...
A sample of size n=71 is drawn from a population whose standard deviation is u=15. Part 1 of 2 (a) Find the margin of error for a 95% confidence interval for u. Round the answer to at least three decimal places. The margin of error for a 95% confidence interval for u is? Part 2 of 2 (b) If the confidence level were 90%, would the margin of error be larger or smaller? (Larger/smaller), because the confidence level is (lower/higher).
A sample of size n = 68 is drawn from a population whose standard deviation is...
A sample of size n = 68 is drawn from a population whose standard deviation is σ = 23.Find the margin of error for a 99% confidence interval for the mean μ. Group of answer choices 2.789 5.467 0.8713 7.185
A sample of size n=100 is drawn from a normal population whose standard deviation is o=9.4....
A sample of size n=100 is drawn from a normal population whose standard deviation is o=9.4. The sample mean is x=42.53. Part 1 of 2 (a) Construct a 80% confidence interval for u. Round the answer to at least two decimal places. An 80% confidence interval for the mean is __<u<__.    Part 2 of 2 (b) If the population were not approximately normal, would the confidence interval constructed in part (a) be valid Explain. The confidence interval constructed in...
A sample of size =n62 is drawn from a normal population whose standard deviation is =σ8.8...
A sample of size =n62 is drawn from a normal population whose standard deviation is =σ8.8 The sample mean is=x44.69 (a) Construct a 95% confidence interval for μ Round the answer to at least two decimal places. A 95% confidence interval for the mean is <μ< . (b) If the population were not approximately normal, would the confidence interval constructed in part (a) be valid? Explain. The confidence interval constructed in part (a) (would or would not) be valid since...
1)A sample of size  is drawn from a population whose standard deviation is  Find the margin of error...
1)A sample of size  is drawn from a population whose standard deviation is  Find the margin of error for a  confidence interval for μ. 2)A researcher wants to construct a 98% confidence interval for the proportion of elementary school students in Seward County who receive free or reduced-price school lunches. What sample size is needed so that the confidence interval will have a margin of error of 0.09? 3)An Internet service provider sampled 540 customers and found that 55 of them experienced an...
A simple random sample of size 11 is drawn from a normal population whose standard deviation...
A simple random sample of size 11 is drawn from a normal population whose standard deviation is σ=1.8. The sample mean is ¯x=26.8. a.) Construct a 85% confidence level for μ. (Round answers to two decimal place.) margin of error: lower limit: upper limit: b.) If the population were not normally distributed, what conditions would need to be met? (Select all that apply.) the population needs to be uniformly distributed σ is unknown simple random sample large enough sample size...
A simple random sample of size n is drawn from a population that is normally distributed....
A simple random sample of size n is drawn from a population that is normally distributed. The sample​ mean, x overbarx​, is found to be 112​, and the sample standard​ deviation, s, is found to be 10. ​ (a) Construct aa 98​% confidence interval about muμ if the sample​ size, n, is 26. ​ (b) Construct aa 98​% confidence interval about muμ if the sample​ size, n, is 12. ​(c) Construct aa 90​% confidence interval about muμ if the sample​...
A simple random sample of size n is drawn from a population that is normally distributed....
A simple random sample of size n is drawn from a population that is normally distributed. The sample​ mean, x overbar​, is found to be 108​, and the sample standard​ deviation, s, is found to be 10. 1. A) Construct a 96​% confidence interval about μ if the sample​ size, n, is 24. 1. B) Construct a 96​% confidence interval about μ if the sample​ size, n, is 20. How does increasing the sample size affect the margin of​ error,...
A simple random sample of size n is drawn. The sample mean is found to be...
A simple random sample of size n is drawn. The sample mean is found to be 35.1, and the sample standard deviation is found to be 8.7. a. Construct the 90% confidence interval if the sample size is 40. b. Construct the 98% confidence interval if the sample size is 40. c.How does increasing the level of confidence affect the size of the margin of error? d. Would you be able to compute the confidence intervals if the sample size...
A simple random sample of size n = 14 is drawn from a population that is...
A simple random sample of size n = 14 is drawn from a population that is normally distributed. The sample mean is found to be x = 56 and the sample standard deviation is found to be s = 11. Construct a 90​% confidence interval about the population mean. The 90​% confidence interval is ​